\( \left|\begin{array}{ccc}x & x^{2} & y z \\ y & y^{2} & z x \\ z & z^{2} & x y\end{array}\righ...

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\( \left|\begin{array}{ccc}x & x^{2} & y z \\ y & y^{2} & z x \\ z & z^{2} & x y\end{array}\right| \)
\( =(x-y)(y-z)(z-x)(x y+y z+z x) \)
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